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Finding the Fourth Proportional to 3,094.17, 4,641.17 and 1,146.75

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Solution

The fourth proportional to 3,094.17, 4,641.17 and 1,146.75 is: 1,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.17 : 4,641.17 = 1,146.75 : x
  2. Step 2: Convert to fraction form
    3,094.17/4,641.17 = 1,146.75/x
  3. Step 3: Cross multiply
    3,094.17x = 4,641.17 × 1,146.75
  4. Step 4: Simplify right side
    3,094.17x = 5,322,255.96
  5. Step 5: Solve for x
    x = 5,322,255.96/3,094.17
  6. Step 6: Final answer
    x = 1,720.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.